### Home > PC > Chapter 1 > Lesson 1.2.1 > Problem1-69

1-69.

Write each expression below with the smallest possible integer base. (Example: $\frac{1}{9^4}=\frac{1}{(3^2)^4}=\frac{1}{3^8}=3^{−8}$ ) (Part (c) may be tricky.)

1. $\frac { 1 } { 27 } ^ { 5 }$

1. $( \frac { 1 } { 8 } ) ^ { x }$

1. $16^x·(\frac{1}{32})^{(2-x)}$

Convert the $16$ and the $32$ to the smallest integer base. Use the Laws of Exponents to combine.

$2^{\left(9x−10\right)}$